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Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

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DOI: 10.4236/am.2014.54056    5,249 Downloads   6,895 Views   Citations


A numerical method based on B-spline is developed to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at x = 0. The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.

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The authors declare no conflicts of interest.

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El-Gamel, M. , El-bashbashy, W. and El-Shenawy, A. (2014) Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method. Applied Mathematics, 5, 593-600. doi: 10.4236/am.2014.54056.


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